Partial Derivative Calculator
What is Partial Derivative
A partial derivative measures how a multivariable function changes when only one of its variables is allowed to vary. It’s a fundamental concept in calculus that helps us understand rates of change in functions with multiple variables. Unlike regular derivatives that deal with functions of a single variable, partial derivatives are used when a function depends on multiple variables.
How to Use the Partial Derivative Calculator
Step 1
Enter your mathematical function in the input field. You can use standard mathematical notation (e.g., x^2*y for x²y, sin(x*y) for sine of xy).
Step 2
Specify the variable with respect to which you want to take the derivative (x, y, z, etc.).
Step 3
Select the order of the derivative you want to calculate (1 for first derivative, 2 for second derivative, etc.).
Step 4
Click the calculate button to obtain your result. The calculator will display both the final answer and a detailed step-by-step solution.
Step 5
Review the step-by-step solution to understand how the derivative was calculated, including the application of derivative rules and simplification steps.